One approach in reconstituting an HIV-diminished immune system is the use of potent antiretroviral therapy (ART) in conjunction with IL-2. IL-2 is a cytokine secreted by activated T cells that regulates the proliferation and differentiation of CD4 and CD8 T cells. Although treatment with IL-2 can cause temporary increases in HIV viral load, clinical studies with IL-2 have revealed no long-term adverse effects on viral load. IL-2 therapy may also help purge the host's latent viral reservoir through activation of resting lymphocytes harboring provirus. Another approach to managing HIV infection is strategic treatment interruption. Results from small pilot trials suggest that HIV replication can be highly suppressed over consecutive courses of ART following short treatment interruptions, and CD4 T cell counts can be maintained on these interruptions with some positive effect on HIV-specific immunity. This study will evaluate potent ART, started and interrupted based on CD4 cell counts, with or without IL-2.